Black Holes? - European Space Agency
GUAINAZZI2/26/041:41 PMPage 14ScienceBlack Holes?- What XMM-Newton is Telling Us .14esa bulletin 117 - february 2004www.esa.int
GUAINAZZI2/26/041:41 PMPage 15XMM-NewtonMatteo GuainazziXMM-Newton Science Operations Centre,ESA Directorate of Scientific Programmes,Villafranca, Madrid, SpainBlack Holes: The Myth of ElusivenessThe incredibly powerful ‘X-ray eyes’ of ESA’sXMM-Newton scientific satellite, launched inDecember 1999, are shedding new light on oneof the most obscure mysteries in our Universe,namely the physical nature of black holes andthe cosmic gas and dust that surrounds them.www.esa.intMost of the debate about the existence ofblack holes that took place during the 20thcentury was centred around the final states ofmassive stars. There are good reasons tobelieve that stars larger than four solar massescannot avoid complete gravitational collapse.Under these conditions, the ultimate fate ofstellar evolution is a ‘space-time singularity’with infinite density. Nothing trapped withina black hole can escape the formidable pull ofgravitation, so if black holes exist how couldwe observe them? By their very definition,black holes are invisible. How then can wehope to detect a celestial object that cannotcommunicate with us on any wavelength?Indeed, isolated black holes are very hard todetect. Although one can speculate that somemicro-lensing events might be associated withblack holes in our Galaxy, the most efficient –and probably currently the only – scenario thatallows their detection is through matter whichis pulled in towards and eventually swallowedby them. Before encountering its ultimate fatebeyond the ‘horizon’ of the black hole, theinfalling matter is heated to temperatures ofthe order of 1 to 10 million degrees. The peakin the radiation emitted as a result of thatesa bulletin 117 - february 200415
GUAINAZZI2/26/041:41 PMPage 16ScienceArtist's impression of a black hole, surrounded by a relativisticaccretion disk of matter. Magnetic-field threads extract energyfrom the rotation of the black hole. This extracted energy isultimately converted into X-rays(copyright Dona Berry/NASA)cataclysmic heating lies in the X-ray band.X-rays are therefore the best available‘probe’ with which to study the propertiesof cosmic black holes and their environment.A black hole is a very simple object inmathematical terms in that it can be fullydescribed by knowing just threeparameters: its mass, its charge, and itsangular momentum. We still have noexperimental way to directly measuretheir charge, but X-ray measurements cantell us quite a lot about a black hole’sangular momentum. Likewise, we knowsurprisingly little about the properties ofthe environment surrounding cosmic black16esa bulletin 117 - february 2004holes, which are crucially shaped by thegravitational forces that are at work (theso-called ‘gravitational well’). ESA’sXMM-Newton mission is allowing us tomake great strides in this respect.Black Holes in Our Own GalaxyThe first experimental proof for theexistence of black holes in our own‘neighbourhood’ was obtained from theX-ray-emitting binary star system Cyg X-1,in which a ‘normal star’ orbits around an‘invisible object’. If the stellar mass, theorbital period, and the amplitude of thevelocity curve are known, the mass of theinvisible object can be estimated. Thismethod yields values of between 7 and 17times the mass of the Sun for Cyg X-1.Today, a total of 18 black-hole binarysystems are known, which represent only avery tiny fraction of the some 300 millionblack-hole systems that are believed toexist in our own Galaxy. The majorcontributions of XMM-Newton to ourknowledge about such galactic black holesinclude the discovery of relativisticallydistorted emission-line profiles, and thestudy of large X-ray flares from the sourceSgr A*, close to the Galactic Centre.www.esa.int
GUAINAZZI2/26/041:41 PMPage 17XMM-NewtonKey Concepts in Deciphering the XMM-Newton DataMicro-lensing: According to the general theory of relativity, photons feel the pull of gravity like ordinary matter does. A light wave travelingclose to a large mass concentration - such as a galaxy or a black hole - will be bent. This may produce multiple identical images of a backgroundobject or, in the extreme case of perfect alignment, a ‘ring of light’ around the foreground object.Angular momentum: In classical mechanics, this is the product of the mass times the rotational speed.Fluorescence: The physical process whereby absorption of a photon by the inner electron shells of an atom (photo-absorption) is followed by(mostly) line emission, produced by the cascade of higher level electrons onto the emptied level. ‘K-fluorescence’ refers to the fluorescenceprocess involving the K atomic shell.Doppler shift: If a source of light is moving towards us, the energy of the photons that we detect is higher than originally emitted by thesource. This phenomenon is called ‘Doppler blueshift’. The reverse, Doppler redshift, is observed in galaxies due to the expansion of theUniverse. Matter distributed in spiraling disks may exhibit both blue- and redshift, as part of the disk approaches us and part recedes from us.Gravitational redshift: Photons subject to a gravitational force lose energy, i.e. they become ‘redder’. This effect is not negligible only whenthe pull of gravity is extremely strong, such as close to a black hole.Resolution: This concept relates to an instrument’s ability to discriminate between two events occurring very close together in an observationalparameter space. Spatial resolution means being capable of distinguishing two celestial sources that are physically very close together in thesky. Energy resolution means distinguishing two absorption or emission lines that are very close in energy, while temporal resolution meansdistinguishing two events that happen very close together in time.The Scientific Instruments aboard XMM-NewtonXMM-Newton carries two different classes of X-ray instrument. The three European Photon Imaging Cameras (EPICs) –two based on PN-CCD technology and one based on MOS-CCD technology – provide images of the X-ray sky, as well asspectra with moderate resolution and flux time series. Three Reflection Grating Spectrometers (RGSs) produce spectrawith very high energy resolution. An Optical Monitor complements the X-ray instrumentation. The main scientificcharacteristics of the X-ray instruments are as follows:www.esa.intPN-based EPICMOS-based EPICRGSEnergy Bandpass (keV)0.15-150.15-120.35-2.5Field-of-View (arcmin)30305Spatial Resolution (arcsec)65N/ATemporal Resolution (ms)1.5.0316Energy Resolution at 1 keV (eV)80703.2esa bulletin 117 - february 200417
GUAINAZZI2/26/041:41 PMPage 18ScienceRelativistic Effects in Galactic Black-HoleSystems1.1RatioThe accompanying illustration shows theenergy spectrum of the black-holecandidate XTE J1650-500 as measured byXMM-Newton. The broad excess featureis interpreted as an iron K α fluorescentemission line. The presence of this ironline is in itself neither news nor a surprise.Matter in the vicinity of super-massiveblack holes will most likely be illuminatedby a large flow of X-rays, and producefluorescent lines in the energy range of6.40 to 6.96 keV, depending on thedominant iron ionisation stage. However,in XTE J1650-500 the excess featureextends to energies as low as 4 keV. How isthis possible?A scheme for the process responsiblefor the broadening of emission linesemitted close to black holes is shown in theillustration below. The combination ofDoppler and gravitational-redshift effectsin a disc of matter spiraling around theblack hole could significantly distort theprofile of an originally mono-energeticemission line. The line profile dependspartly on the black hole’s angular1.210.90246810Energy (KeV)momentum: the larger the angularmomentum, the closer the accreting mattercan approach the event horizon. The ironline profile observed in XTE J1650-500 isconsistent with a black hole rotating at itsmaximum possible speed, according to thegeneral theory of relativity. This resultThe XMM-Newton energy spectrum of the black-hole candidateXTE J1650-500(from J. Miller et al., Astrophysical Journal, 2002)represents the first observational evidencethat black holes in our Galaxy rotate, and itallows us to determine one of the threebasic parameters that characterise theirphysical nature.Another interesting conclusion could bedrawn from the XMM-Newton measurements made by J. Miller et al. in 2002. Themore photons (in relative terms) that areproduced close to the black hole, thestronger is the relativistic distortion of theiron-line profile. The profile observed byXMM-Newton also requires an extremeconcentration of photon-emitting matterclose to the black hole, to be consistentwith standard accretion-disk models. ThisThis scheme shows how emission lines could be broadened, whenemitted by matter orbiting in an accretion disk around a blackhole (top left). Photons, originally emitted at a given energy(blue profile in the spectrum on the right) are shifted towardslower and higher energy by the Doppler effect, and towardslower energies by gravitational redshift (orange profile). Thefinal line profile (red) looks very different from the original one.This particular figure refers to the active galaxy MCG-6-30-15,but the same phenomenon also occurs in galactic black holes likeXTE J1650-500(copyright ESA)18esa bulletin 117 - february 2004www.esa.int
GUAINAZZI2/26/041:41 PMPage 19XMM-NewtonThe Star-swallowing Monster at the Centre ofOur GalaxyThe most massive black hole in our ownGalaxy is probably located close to itscentre. High-resolution infrared observationshave shown that stars in the most centralregion of the Milky Way are orbitingaround a ‘dark mass’ about 1 million timesgreater than that of the Sun, andconcentrated within a region of spaceabout 5x108 times smaller than our ownGalaxy’s diameter. A black hole is the onlyviable explanation.The suspected black hole coincideswith a compact radio sourceknown as Sgr A*. AlthoughSgr A* is remarkably faintin optical terms, itundergoes extraordinaryX-ray flaring events.After their discoveryby the American X-raysatellite Chandra inOctober 2000, XMMNewton detected thebrightest Sgr A* flare ever(see accompanying figure). Ascenario whereby flares aretriggered by the passage of stars throughan accretion disk surrounding Sgr A* is themost likely explanation for the massiveevent that XMM-Newton observed.Black Holes at the Centre of Other Galaxies?Around 10% of known galaxies are‘active’ in that their luminosity isdominated by a very compact core close totheir centre. The energy emitted from thesewww.esa.intFlare2Counts/sis interpreted as evidence for energy beingextracted from the rotating black hole, afundamental general relativistic prediction,foreseen by R.D. Blandford and R.L.Znajek more than 25 years ago but neververified experimentally before. Onceagain, XMM-Newton’s unique andpowerful X-ray eyes have provided aglimpse of the basic properties of blackhole physics, which had previously onlyexisted in the imaginative minds of thetheoreticians.10200040006000so-called ‘Active Galactic Nuclei’ (AGNs)can be 10 000 times as great as the totalstellar light from our Galaxy. Already inthe late 1960s, the hypothesis was putforward that this enormous power mustultimately be produced by the accretionof matter onto a ‘super-massive’ black hole– where ‘super-massive’ means between100 000 and 1 billion times the mass of theSun.Are Super-massive Black Holes Shy?Although originally developed to explainthe X-ray spectrum of Cyg X-1, therelativistic-line-profile distortion scenariohas mostly been applied to nearby AGNs.The earliest results obtained by theJapanese Advanced Satellite for Cosmologyand Astrophysics fostered the hope that8000100001200014000The Sgr A* X-ray flare event in October 2002 as observed withXMM-Newton’s EPIC instrument in the 2 to 10 keV energy band(from D. Porquet et al., Astronomy & Astrophysics, 2003)relativistic effects could be studied in alarge sample of nearby AGNs. Thisexpectation has now been satisfied byXMM-Newton.The accompanying figure (next page)shows one example of relativisticallybroadened and skewed iron K α fluorescentlines measured by XMM-Newton. Similarprofiles were observed for lighterelements such as oxygen, neonand carbon. Each of thesemeasurements probes aspecific characteristic ofthe accretion processonto a black hole. InMCG 6-30-15, energyextraction from amaximally rotatingblack hole is probablyat work. In other AGNs,the line is probably producedin small local flares above therelativistic accretion disk, due tothe same kind of magnetic processesthat are at work on the Sun’s photosphere.However, what XMM-Newton has notobserved is even more intriguing!Relativistically distorted lines seem to bemuch less common than expected (andhoped for) prior to the launch of XMMNewton. The majority of AGNs in thelargest sample observed by XMM-Newtonso far (53 objects) do show Kα fluorescentiron lines, but their profile is notsignificantly distorted by relativisticesa bulletin 117 - february 200419
GUAINAZZI2/26/041:42 PMPage 20ScienceTop figure: The relativistically distorted Kα fluorescent iron-lineprofile of MCG-6-3-15 measured by XMM-Newton(from A.C. Fabian et al., Monthly Notices of the RoyalAstronomical Society, 2002)Bottom figure: Spectrum of the luminous AGN PG1211 143,showing the absorption lines discovered by XMM-Newton(from K. Pounds et al., Monthly Notices of the Royal AstronomicalSociety, 2003)effects. This provides firm proof for thebulk of these emission lines beingproduced by matter far away from theblack hole itself. Consequently, only asmall fraction of AGNs look to be suitableas probes of general relativistic effects. Itis not clear why super-massive black holesare seemingly so ‘shy’ in the energy bandwhere their power and glory should bemost clearly manifested. It probably has todo with the physical properties of theaccretion flow. Matter very close to a blackhole could be too hot to be ‘sensitive’ tofluorescence stimuli.These new XMM-Newton results aredrastically changing the way we look at thebehaviour of cosmic gas and dust close toblack holes.Black-Hole WindsRecently XMM-Newton has discovereddeep absorption lines in the spectra of twoluminous quasars, PG 0844 349 and PG1211 143 (see figure). These lines aresignificantly blue-shifted with respect tothe systemic velocity of the host galaxy,suggesting that they occur in an outflowtraveling at about one tenth of the speed oflight. This evidence has been interpreted asa manifestation of the extraordinary powerof black holes to generate relativistic‘winds’ of matter, expelled from the coresof active galaxies.‘Intermediate-mass’ Black HolesOne may ask why black holes should existonly in ‘stellar-mass’ or ‘super-massive’form. Why isn't there anything in between?In recent years, evidence has beenaccumulating for the existence of ‘UltraLuminous X-ray Sources’ (ULXs), whoseluminosity is significantly larger than thatof stellar-mass black holes. One hypothesisis that these systems may be hosting blackholes of ‘intermediate’ mass. XMMNewton’s contribution has been crucial inthis field too, since it has clearly demonstrated that at least some of the knownULXs share the same basic qualitativeproperties with other black-hole accretingsystems, such as galactic black holes orAGNs.ConclusionThough there turns out to much more inthe sky than theoretical astrophysicists cantoday imagine, XMM-Newton seems verywell equipped to discover and study it,even if it is the flickering ghost of aturbulent, elusive and shy black hole!sEnergy (KeV)20esa bulletin 117 - february 2004www.esa.int
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Black Holes: The Myth of Elusiveness Most of the debate about the existence of black holes that took place during the 20th century was centred around the final states of massive stars. There are good reasons to believe that stars larger than four solar masses cannot avoid complete gravitational collapse. Under these conditions, the ultimate fate of
BLACK HOLES IN 4D SPACE-TIME Schwarzschild Metric in General Relativity where Extensions: Kerr Metric for rotating black hole . 2 BH s GM c M BH 32 BH 1 s BH M rM Uvv Jane H MacGibbon "The Search for Primordial Black Holes" Cosmic Frontier Workshop SLAC March 6 - 8 2013 . BLACK HOLES IN THE UNIVERSE SUPERMASSIVE BLACK HOLES Galactic .
mass black holes, no credible formation process is known, and indeed no indications have been found that black holes much lighter than this \Chandrasekhar limit" exist anywhere in the Universe. Does this mean that much lighter black holes cannot exist? It is here that one could wonder about all those fundamental assumptions that underly the theory of quantum mechanics, which is the basic .
However, in addition to black holes formed by stellar collapse, there might also be much smaller black holes which were formed by density fluctua-202 S. W. Hawking tions in the early universe [9, 10]. These small black holes, being at a higher temperature, would radiate more than they absorbed. They would therefore pre- sumably decrease in mass. As they got smaller, they would get hotter and .
Black holes have entropy S. Black holes have Hawking temperature T H, consistent with thermodynamic relation between energy, entropy and temperature. Thermodynamics S A 4 where Ais the area of the event horizon. T H 2 ˇ where in the surface gravity of the black hole. Luke Barclay Durham, CPT luke.barclay@durham.ac.uk Supervisor: Ruth GregoryBlack Holes, Vortices and Thermodynamics. Path .
Sep 27, 2015 · Beams - Straight Beams are measured by counting the number of holes. Beams come in odd numbers when counting the holes, with one exception. Beams start with15 holes and go down in size by two holes to the 3 hole beam and include one even-numbered beam with 2 holes. The number of holes corresponds to the length
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3.7. The European Chemicals Agency (ECHA) 108 3.8. European Insurance and Occupational Pensions Authority (EIOPA) 115 3.9. European Institute of Innovation and Technology (EIT) 121 3.10. European Maritime Safety Agency (EMSA) 127 3.11. European Union Agency for Cybersecurity (ENISA) 134 3.12. European Union Agency for Railways (ERA) 143 3.13.
Agile software development with Scrum is first introduced with its elements. Next, we use three development process lenses (communication, coordination, and control) to study how Scrum supports each of development processes, how they are related each other, and how they affect the performance of Scrum. In the following section, we analyze Scrum practices from social factor theories (social .
